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Finding the Fourth Proportional to 415,368.27, 622,830.33 and 215,192.16

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Solution

The fourth proportional to 415,368.27, 622,830.33 and 215,192.16 is: 322,673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,368.27 : 622,830.33 = 215,192.16 : x
  2. Step 2: Convert to fraction form
    415,368.27/622,830.33 = 215,192.16/x
  3. Step 3: Cross multiply
    415,368.27x = 622,830.33 × 215,192.16
  4. Step 4: Simplify right side
    415,368.27x = 134,028,204,026.21
  5. Step 5: Solve for x
    x = 134,028,204,026.21/415,368.27
  6. Step 6: Final answer
    x = 322,673.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.